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Finding the Fourth Proportional to 510.48, 764.78 and 456.20

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Solution

The fourth proportional to 510.48, 764.78 and 456.20 is: 683.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.48 : 764.78 = 456.20 : x
  2. Step 2: Convert to fraction form
    510.48/764.78 = 456.20/x
  3. Step 3: Cross multiply
    510.48x = 764.78 × 456.20
  4. Step 4: Simplify right side
    510.48x = 348,892.64
  5. Step 5: Solve for x
    x = 348,892.64/510.48
  6. Step 6: Final answer
    x = 683.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.